976119 ÷ 13 
We want to figure out the number of times 976119 can be divided by 13.

On to step 1:
13 goes into 9 0 times with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 13

Advancing to step 2:
13 goes into 97 7 times with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 91 from 97 to get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 13

Advancing to step 3:
When dividing 66 by 13, we get 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
Deduct 65 from 66 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 13

Going ahead to step 4:
11 divided by 13 is 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 750.0
If we subtract 0 from 11, we get 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 13

Going ahead to step 5:
111 divided by 13 is 8 with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 7508.0
Deduct 104 from 111 and we're left with 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 13

Moving on to step 6:
If we divide 79 by 13, we get 6 and a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 75086.0
Deduct 78 from 79 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 75086.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 75086.07
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 75086.076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 75086.0769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 75086.07692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
40 divided by 13 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 75086.076923
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 75086.076923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 75086.07692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 75086.07692307 with a balance of 9e-09.